To quantify the distance to the hashing outage bound, we use a similar metric to the one proposed in [1]}, which measures the distance in dBs between the performance of a code and the hashing outage at a given \(\mathrm {WER} = \chi \) :
\(\delta _{\mathrm {out}}(@\chi ) = 10\log \left(\frac{p(p_{\mathrm {out}}^\mathrm {H}=\chi )}{p(\mathrm {WER}_{\mathrm {code}} = \chi )}\right).\) 
